where \(H=-\Delta +V\) , \(A=px+xp\) , \(p=-i\nabla \) 
and \(\chi _I(H)\)  localizes \(H\)  to some compact interval \(I\)  of positive energies, entails a limiting absorption bound on the resolvent localized to \(I\)  (which is some form
of scattering).
Hunziker, Sigal, Soffer [1]}, developed a time-dependent and abstract approach to Mourre theory by means of propagation estimates in the spirit of Sigal, Soffer [2]}. The main result of [1]} is the following theorem.
